{"id":289,"date":"2018-12-31T12:29:43","date_gmt":"2018-12-31T12:29:43","guid":{"rendered":"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=289"},"modified":"2018-12-31T12:29:48","modified_gmt":"2018-12-31T12:29:48","slug":"introduction-to-hierarchical-models","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/chapter\/introduction-to-hierarchical-models\/","title":{"rendered":"Introduction to Hierarchical Models"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/na\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n<img class=\"aligncenter size-full wp-image-290\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_04.jpg\" alt=\"\" width=\"1511\" height=\"623\" \/> <img class=\"aligncenter size-full wp-image-291\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_08.jpg\" alt=\"\" width=\"1506\" height=\"1102\" \/> <img class=\"aligncenter size-full wp-image-292\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_11.jpg\" alt=\"\" width=\"1509\" height=\"807\" \/> <img class=\"aligncenter size-full wp-image-293\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_15.jpg\" alt=\"\" width=\"1509\" height=\"911\" \/> <img class=\"aligncenter size-full wp-image-294\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_20.jpg\" alt=\"\" width=\"1510\" height=\"1090\" \/> <img class=\"aligncenter size-full wp-image-295\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_23.jpg\" alt=\"\" width=\"1510\" height=\"1041\" \/> <img class=\"aligncenter size-full wp-image-296\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_24.jpg\" alt=\"\" width=\"1512\" height=\"916\" \/> <img class=\"aligncenter size-full wp-image-297\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_26.jpg\" alt=\"\" width=\"1508\" height=\"1076\" \/> <img class=\"aligncenter size-full wp-image-298\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_31.jpg\" alt=\"\" width=\"1512\" height=\"1076\" \/> <img class=\"aligncenter size-full wp-image-299\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_34.jpg\" alt=\"\" width=\"1509\" height=\"877\" \/> <img class=\"aligncenter size-full wp-image-300\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_36.jpg\" alt=\"\" width=\"1511\" height=\"659\" \/> <img class=\"aligncenter size-full wp-image-301\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_38.jpg\" alt=\"\" width=\"1507\" height=\"883\" \/> <img class=\"aligncenter size-full wp-image-302\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_41.jpg\" alt=\"\" width=\"1511\" height=\"831\" \/> <img class=\"aligncenter size-full wp-image-303\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_44.jpg\" alt=\"\" width=\"1511\" height=\"819\" \/> <img class=\"aligncenter size-full wp-image-304\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_45.jpg\" alt=\"\" width=\"1509\" height=\"551\" \/> <img class=\"aligncenter size-full wp-image-305\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_46.jpg\" alt=\"\" width=\"1512\" height=\"1093\" \/> <img class=\"aligncenter size-full wp-image-306\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_47.jpg\" alt=\"\" width=\"1510\" height=\"1103\" \/> <img class=\"aligncenter size-full wp-image-307\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_50.jpg\" alt=\"\" width=\"1507\" height=\"645\" \/>\r\n\r\n&nbsp;\r\n<table width=\"646\">\r\n<tbody>\r\n<tr>\r\n<td><strong>You can view video on Introduction to Hierarchical Models<\/strong><\/td>\r\n<td><a href=\"HTTP\/\/NA\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n&nbsp;\r\n\r\n<strong>Reference<\/strong>\r\n\r\n&nbsp;\r\n\r\n1. Beayesian Data Analysis\u201d, 3rd Edition, By Andrew Gelman,\u00a0John B. Carlin, Hal S. Stern, David B. Dunson, Aki Vehtari and Donald B. Rubin\r\n\r\n&nbsp;\r\n\r\n2. Bayesian Statistics: An Introduction\u201d, By Peter Lee, 4th Edition, ISBN: 978-1-118-33257-3\r\n\r\n&nbsp;\r\n\r\n3.\u00a0Monte Carlo Statistical Methods, By Robert, Christian P. andGeorge Casella. 2004. , 2nd edition. Springer.","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/na\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-290\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_04.jpg\" alt=\"\" width=\"1511\" height=\"623\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_04.jpg 1511w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_04-300x124.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_04-768x317.jpg 768w, 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src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_47.jpg\" alt=\"\" width=\"1510\" height=\"1103\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_47.jpg 1510w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_47-300x219.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_47-768x561.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_47-1024x748.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_47-65x47.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_47-225x164.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_47-350x256.jpg 350w\" sizes=\"auto, (max-width: 1510px) 100vw, 1510px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-307\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_50.jpg\" alt=\"\" width=\"1507\" height=\"645\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_50.jpg 1507w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_50-300x128.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_50-768x329.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_50-1024x438.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_50-65x28.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_50-225x96.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2018\/12\/1522660357Bayes_M7_Page_50-350x150.jpg 350w\" sizes=\"auto, (max-width: 1507px) 100vw, 1507px\" \/><\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 646px;\">\n<tbody>\n<tr>\n<td><strong>You can view video on Introduction to Hierarchical Models<\/strong><\/td>\n<td><a href=\"HTTP\/\/NA\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><strong>Reference<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>1. Beayesian Data Analysis\u201d, 3rd Edition, By Andrew Gelman,\u00a0John B. Carlin, Hal S. Stern, David B. Dunson, Aki Vehtari and Donald B. Rubin<\/p>\n<p>&nbsp;<\/p>\n<p>2. Bayesian Statistics: An Introduction\u201d, By Peter Lee, 4th Edition, ISBN: 978-1-118-33257-3<\/p>\n<p>&nbsp;<\/p>\n<p>3.\u00a0Monte Carlo Statistical Methods, By Robert, Christian P. andGeorge Casella. 2004. , 2nd edition. Springer.<\/p>\n","protected":false},"author":4,"menu_order":7,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["dr-sourish-das"],"pb_section_license":""},"chapter-type":[],"contributor":[58],"license":[],"class_list":["post-289","chapter","type-chapter","status-publish","hentry","contributor-dr-sourish-das"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/289","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/users\/4"}],"version-history":[{"count":1,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/289\/revisions"}],"predecessor-version":[{"id":308,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/289\/revisions\/308"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/289\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/media?parent=289"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapter-type?post=289"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/contributor?post=289"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/license?post=289"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}